What is (\partial)/(\partial x)(e^{x^7}) ?

The answer to (\partial)/(\partial x)(e^{x^7}) is e^{x^7}*7x^6

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(\partial)/(\partial x)(e^{x^7})

\frac{\partial}{\partial x} (e^{x^{7}})

e^{x^{7}} \cdot 7 x^{6}

Solution steps

\frac{\partial}{\partial x} (e^{x^{7}})

Apply the chain rule:

e^{x^{7}} \frac{\partial}{\partial x} (x^{7})

= e^{x^{7}} \frac{\partial}{\partial x} (x^{7})

\frac{\partial}{\partial x} (x^{7}) = 7 x^{6}

= e^{x^{7}} \cdot 7 x^{6}

\frac{\partial}{\partial x} (e^{x^{3}})

y^{^{'}} - \frac{1}{2} y = (5 x - 5) y^{- 1}, y (0) = 4

\int \frac{x ^{5}}{1 - x ^{4}} d x

\int (5 x + 5) (x - 4) (x - 4) d x

\int 9 t^{2} + \frac{1}{t ^{3}} d t

What is (\partial)/(\partial x)(e^{x^7}) ?
The answer to (\partial)/(\partial x)(e^{x^7}) is e^{x^7}*7x^6